GCF of 1581/956, 1290/1627
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1581/956, 1290/1627 i.e 3/1555412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1581/956, 1290/1627.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1581/956,1290/1627?
Given fractions are 1581/956,1290/1627
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1581/956,1290/1627, numerators are 1581,1290
Denominators are 956,1627
The GCF of 1581,1290 is 3 .
LCM of 956,1627 is 1555412.
The greatest common factor of 1581/956,1290/1627 = [GCF of 1581,1290]/[LCM of 956,1627]= 3/1555412
Therefore, the GCF of 1581/956,1290/1627 is 3/1555412.
To find the highest common factor of 1581,1290, we have to find the factors of both numbers and list the highest common factor.
The factors of 1581 are 1, 3, 17, 31, 51, 93, 527, 1581
The factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290
The HCF of 1581,1290 is 3.
Lets's calculate GCF of 1581,1290
| 3 | 1581, 1290 |
| 527, 430 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1581,1290 By Matching Biggest Common Factor Method
Now, list down the factors of 1581
:1,3,17,31,51,93,527,1581
Now, list down the factors of 1290
:1,2,3,5,6,10,15,30,43,86,129,215,258,430,645,1290
Greatest Common Factor
We found the factors 1581,1290 . The biggest common factor number is the GCF number.
So the greatest common factor 1581,1290 is 3.
Lets's calculate LCM of 956,1627
Given numbers has no common factors except 1. So, there LCM is their product i.e 1555412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1555412
Therefore, the GCF of Fractions 1581/956,1290/1627 is 3/1555412
Least Common Multiple of 956,1627 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 956,1627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,1627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(956,1627) x common factors =1 x 1 = 1
LCM(956,1627) = ( 956 × 1627 ) / 1
LCM(956,1627) = 1555412 / 1
LCM(956,1627) = 1555412
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FAQs on GCF of Fractions of 1581/956, 1290/1627
1. What is the HCF of 1581,1290?
The HCF of 1581,1290 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1581/956, 1290/1627?
Answer: GCF of Numerators as per given numbers 1581/956, 1290/1627 is
GCF of Numerators i.e. for 1581,1290 is 3
LCM of denominators i.e. for 956,1627 is 1555412.
Thus, GCF of Fractions is 3/1555412.Finally, GCF of Fractions for 1581/956, 1290/1627 is 3/1555412.